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We investigate the dephasing of mesoscopic interferences by electron-electron interactions in a strictly one-dimensional geometry composed of two weakly-coupled (clean and very long) Luttinger liquids. The main goal of this paper is to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Karyn Le Hur

We investigate the decoherence of the electron wavepacket in purely ballistic one-dimensional systems described through the Luttinger liquid (LL). At a finite temperature $T$ and long times $t$, we show that the electron Green's function…

Strongly Correlated Electrons · Physics 2009-11-11 Karyn Le Hur

The electron dephasing time $\tau_{\phi}$ in a diffusive quantum dot is calculated by considering the interaction between the electron and dynamical defects, modelled as two-level system. Using the standard tunneling model of glasses, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kang-Hun Ahn , Pritiraj Mohanty

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We theoretically investigate the charge noise and dephasing in a metallic device in close proximity to a spin incoherent Luttinger liquid with a small but finite current. The frequency dependence of the charge noise exhibits a loss of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Markus Kindermann

We consider a four-terminal Aharonov-Bohm interference setup formed out of two edges of a quantum spin Hall insulator, supporting helical Luttinger liquids (HLLs). We show that the temperature and bias dependence of the interference…

Mesoscale and Nanoscale Physics · Physics 2011-04-04 Pauli Virtanen , Patrik Recher

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

Conduction electrons in disordered metals and heavily doped semiconductors at low temperatures preserve their phase coherence for a long time: phase relaxation time $\tau_\phi$ can be orders of magnitude longer than the momentum relaxation…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. L. Altshuler , M. E. Gershenson , I. L. Aleiner

Using bosonization we derive the dc conductance G(L,T) of an interacting quantum wire with good contacts including current relaxing backscattering and Umklapp processes. Our result yields the dependence of the conductance on length L and…

Strongly Correlated Electrons · Physics 2013-02-01 N. Sedlmayr , P. Adam , J. Sirker

One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy excitations of…

Strongly Correlated Electrons · Physics 2025-12-31 Karyn Le Hur , Bertrand I. Halperin , Amir Yacoby

We report experimental temperature dependence of the amplitude of Aharonov-Bohm oscillations in the Laughlin quasiparticle interferometer. The results fit very well the thermal dephasing dependence predicted for a g = 1/3 chiral Luttinger…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , W. Zhou , V. J. Goldman

We develop a non-perturbative numerical method to study a single electron tunneling through an Aharonov-Bohm ring in the presence of bound, interacting electrons. Inelastic processes and spin-flip scattering are properly taken into account.…

Strongly Correlated Electrons · Physics 2007-05-23 Rok Zitko , Janez Bonca

The Luttinger model of the one-dimensional Fermi gas is the cornerstone of modern understanding of interacting electrons in one dimension. In fact, the enormous class of systems whose universal behavior is adiabatically connected to it are…

Strongly Correlated Electrons · Physics 2007-05-23 Cristina Bena , Smitha Vishveshwara , Leon Balents , Matthew P. A. Fisher

We analyze the time evolution of spin-polarized electron wave packets injected into the edge states of a two-dimensional topological insulator. In the presence of electron interactions, the system is described as a helical Luttinger liquid…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. K. T Nguyen , A. Crepieux , T. Jonckheere , A. V. Nguyen , Y. Levinson , T. Martin

We establish an explicit correspondence between perturbative and nonperturbative results in the problem of quantum decoherence in disordered conductors. We demonstrate that the dephasing time $\tau_{\phi}$ cannot be unambiguously extracted…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. S. Golubev , A. D. Zaikin

The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation…

Mesoscale and Nanoscale Physics · Physics 2008-09-09 D. A. Bagrets , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the properties of interacting electrons in a one-dimensional conduction band coupled to bulk non-collinear ferromagnetic order. The specific form of non-collinearity we consider is that of an extended domain wall. The presence of…

Strongly Correlated Electrons · Physics 2011-07-18 N. Sedlmayr , S. Eggert , J. Sirker

We develop a non-perturbative numerical method to study tunneling of a single electron through an Aharonov-Bohm ring where several strongly interacting electrons are bound. Inelastic processes and spin-flip scattering are taken into…

Strongly Correlated Electrons · Physics 2016-08-31 R. Zitko , J. Bonca

Understanding the effects of nonequilibrium on strongly interacting quantum systems is a challenging problem in condensed matter physics. In dimensions greater than one, interacting electrons can often be understood within Fermi-liquid…

Strongly Correlated Electrons · Physics 2015-05-14 So Takei , Mirco Milletari' , Bernd Rosenow
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